Add polynomials vertically and horizontally

1
EXAMPLE 1
Add polynomials vertically and horizontally
a. Add 2x3 5x2 3x 9 and x3 6x2 11 in
a vertical format.
SOLUTION
2
EXAMPLE 1
Add polynomials vertically and horizontally
b. Add 3y3 2y2 7y and 4y2 2y 5 in a
horizontal format.
(3y3 2y2 7y) (4y2 2y 5)
3y3 2y2 4y2 7y 2y 5
3y3 6y2 5y 5
3
EXAMPLE 2
Subtract polynomials vertically and horizontally
a. Subtract 3x3 2x2 x 7 from 8x3 x2
5x 1 in a vertical format.
SOLUTION
a. Align like terms, then add the opposite of
the subtracted polynomial.
4
EXAMPLE 2
Subtract polynomials vertically and horizontally
b. Subtract 5z2 z 3 from 4z2 9z 12 in a
horizontal format.
Write the opposite of the subtracted
polynomial, then add like terms.
(4z2 9z 12) (5z2 z 3) 4z2 9z 12
5z2 z 3
4z2 5z2 9z z 12 3
z2 10z 15
5
for Examples 1 and 2
GUIDED PRACTICE
Find the sum or difference.
1. (t2 6t 2) (5t2 t 8)
6t2 7t 6
ANSWER
2. (8d 3 9d3) (d3 13d2 4)
8d3 13d2 8d 1
ANSWER